<trans-title xml:lang="en">Modification of method of sampling radiation source particle in spherical geometry</trans-title>

Fig. 2. The convergence of material temperature: (a) Material temperature change with time in r = 0.05 cm; (b) material temperature change with cell number in r = 0.05 cm (t = 5 ns).

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Fig. 3. The dependence of temperature on space is approxi-mately linear.

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Fig. 4. Spatial probability density distribution of radiation source particle in different positions of radiation wave:　(a) Cell 9, in the behind of wave; (b) cell 18, in the behind of wave; (c) cell 22, in the head of wave; (d) cell 26, in the head of wave.

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Fig. 5. Material temperature with different cell numbers (t = 10 ns):　(a) Multiplying sampling method; (b) stepped approximation sampling method.

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Fig. 6. Results of two new sampling methods with 40 cells (t = 10 ns).

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Table 1. Relative to the reference solution, the standard deviation and the maximum error of temperature curves with different cell numbers.
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Table 1. Relative to the reference solution, the standard deviation and the maximum error of temperature curves with different cell numbers.
Cell number Standard deviation/eV Maximum error/eV
20 80.8 273
40 48.7 254
100 28.9 245
200 13.0 125

Table 2. Computation time with different cell numbers.
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Table 2. Computation time with different cell numbers.
Cell number Particle number Computation time/s
20 1 × 10⁴ 1.80 × 10³
40 2 × 10⁴ 2.72 × 10³
100 5 × 10⁴ 5.74 × 10³
200 2 × 10⁵ 2.28 × 10⁴
400 4 × 10⁵ 5.06 × 10⁴

Table 3. Relative to the reference solution, the standard deviation, and the maximum error of temperature curves with difference cell numbers.
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Table 3. Relative to the reference solution, the standard deviation, and the maximum error of temperature curves with difference cell numbers.
Cell number 乘抽样法阶梯近似抽样法
Standard deviation/eV Maximum error/eV Standard deviation/eV Maximum error/eV
20 21.60 91.6 18.80 77.8
40 13.60 75.4 12.40 68.7
100 10.40 77.9 10.40 87.6
200 5.64 63.3 5.27 59.5

Table 4. Computation time of the problem.

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Table 4. Computation time of the problem.

Sampling method	Cell number	Particle number/10⁴	Computation time/10³ s
等温法抽样	20	1	1.80
	40	2	2.72
	100	5	5.74
	200	20	22.80
	400	40	50.60
乘抽样法	20	1	1.65
	40	2	2.56
	100	5	5.64
	200	20	22.40
阶梯近似抽样法	20	1	1.61
	40	2	2.58
	100	5	5.75
	200	20	22.40

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Yu-Pei Xu, Shu Li. Modification of method of sampling radiation source particle in spherical geometry[J]. Acta Physica Sinica, 2020, 69(11): 119501-1

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Paper Information

Category:

Received: Jan. 5, 2020

Accepted: --

Published Online: Dec. 2, 2020

The Author Email:

DOI:10.7498/aps.69.20200024

Topics

Nuclear physics

Particles and fields

Particle and nuclear astrophysics and cosmology

Table 1. Relative to the reference solution, the standard deviation and the maximum error of temperature curves with different cell numbers.

Table 1. Relative to the reference solution, the standard deviation and the maximum error of temperature curves with different cell numbers.

Table 2. Computation time with different cell numbers.

Table 2. Computation time with different cell numbers.

Table 3. Relative to the reference solution, the standard deviation, and the maximum error of temperature curves with difference cell numbers.

Table 3. Relative to the reference solution, the standard deviation, and the maximum error of temperature curves with difference cell numbers.

Table 4. Computation time of the problem.

Table 4. Computation time of the problem.